"In the Geneva negotiations... We can examine ways to make decisions in different fields and help resolve the existing issues," the website of Iranian state television quoted Ahmadinejad as saying.
He also expressed satisfaction over the current state of ties between Tehran and Moscow, which has substantial economic interests in the Islamic republic, state television said.
The Kremlin, meanwhile, quoted Medvedev as urging Iran "to cooperate fully with the International Atomic Energy Agency (IAEA) to clarify questions remaining about the Iranian nuclear programme."
"The Russian president reiterated his firm position on resolving the situation surrounding Iran's nuclear programme only by political and diplomatic means," it added.
Medvedev told Ahmadinejad he hoped for a "substantive and constructive dialogue" in Geneva today, it said.
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Russia is one of the six world powers that last month gave Iran a proposal offering it full negotiations on a range of incentives if it suspends sensitive uranium enrichment operations.
EU foreign policy chief Javier Solna will hold talks on the package with Iran's top nuclear negotiator Saeed Jalili in Geneva today, in a meeting that for the first time will also be attended by a US envoy.